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Finding the Fourth Proportional to 21,314.40, 29,417.54 and 12,364.71

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Solution

The fourth proportional to 21,314.40, 29,417.54 and 12,364.71 is: 17,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.40 : 29,417.54 = 12,364.71 : x
  2. Step 2: Convert to fraction form
    21,314.40/29,417.54 = 12,364.71/x
  3. Step 3: Cross multiply
    21,314.40x = 29,417.54 × 12,364.71
  4. Step 4: Simplify right side
    21,314.40x = 363,739,289.19
  5. Step 5: Solve for x
    x = 363,739,289.19/21,314.40
  6. Step 6: Final answer
    x = 17,065.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.